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Finding the Fourth Proportional to 506,927.90, 699,512.66 and 302,938.21

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Solution

The fourth proportional to 506,927.90, 699,512.66 and 302,938.21 is: 418,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,927.90 : 699,512.66 = 302,938.21 : x
  2. Step 2: Convert to fraction form
    506,927.90/699,512.66 = 302,938.21/x
  3. Step 3: Cross multiply
    506,927.90x = 699,512.66 × 302,938.21
  4. Step 4: Simplify right side
    506,927.90x = 211,909,113,588.46
  5. Step 5: Solve for x
    x = 211,909,113,588.46/506,927.90
  6. Step 6: Final answer
    x = 418,026.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.